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3 years ago

Two lines and a ray intersect at a

Mathematics

1 answer:

saveliy_v [14]3 years ago

8 0

Answer:

m<DAE = 80°

Step-by-step explanation:

Given that m<CAB = 110°,

m<DAE = (x + 4)°,

m<EAF = 30°,

m<EAF + m<DAE = m<DAF (angle addition postulate)

30° + (x + 4)° = m<DAF (substitution)

(34 + x)° = m<DAF

<DAF and <CAB are vertically opposite angles. Vertically opposite angles are said to be congruent. Therefore:

m<DAF = m<CAB

(34 + x)° = 110° (substitution)

The equation above can be used to solve for x as follows:

34 + x = 110

x = 110 - 34 (Subtracting 34 from both sides)

x = 76

m<DAE = (x + 4)°

Plug in 76, to replace x

m<DAE = 76 + 4

m<DAE = 80°

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3 years ago

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Hello!

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3 years ago

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Stolb23 [73]

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erik [133]

Answer:

A): f(x) = (x – 1)² + 2

Step-by-step explanation:

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The value of h determines how far left or right the parent function is translated.
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The function, f(x) = (x – 1)² + 2, provides the pertinent information that allows us to determine the parabola's minimum value, as the value of a is a positive, which implies that the parabola is upward facing, and the vertex, (1, 2) is the minimum point.

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2 years ago

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Flauer [41]

Answer:

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Step-by-step explanation:

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